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Simplifying v2 + -14vd + 40d2 = 0 Reorder the terms: -14dv + 40d2 + v2 = 0 Solving -14dv + 40d2 + v2 = 0 Solving for variable 'd'. Factor a trinomial. (4d + -1v)(10d + -1v) = 0Subproblem 1
Set the factor '(4d + -1v)' equal to zero and attempt to solve: Simplifying 4d + -1v = 0 Solving 4d + -1v = 0 Move all terms containing d to the left, all other terms to the right. Add 'v' to each side of the equation. 4d + -1v + v = 0 + v Combine like terms: -1v + v = 0 4d + 0 = 0 + v 4d = 0 + v Remove the zero: 4d = v Divide each side by '4'. d = 0.25v Simplifying d = 0.25vSubproblem 2
Set the factor '(10d + -1v)' equal to zero and attempt to solve: Simplifying 10d + -1v = 0 Solving 10d + -1v = 0 Move all terms containing d to the left, all other terms to the right. Add 'v' to each side of the equation. 10d + -1v + v = 0 + v Combine like terms: -1v + v = 0 10d + 0 = 0 + v 10d = 0 + v Remove the zero: 10d = v Divide each side by '10'. d = 0.1v Simplifying d = 0.1vSolution
d = {0.25v, 0.1v}
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